|
Title:
|
The field descent method.
|
|
Author:
|
Bernhard, Schmidt.; Ka, Hin Leung.
|
|
Copyright year:
|
2005 |
|
Abstract:
|
We obtain a broadly applicable decomposition of group ring elements into a "subfield part" and a "kernel part". Applications include the verification of Lander's conjecture for all difference sets whose order is a power of a prime >3 and for all McFarland, Spence and Chen/Davis/Jedwab difference sets. We obtain a new general exponent bound for difference sets. We show that there is no circulant Hadamard matrix of order v with 4<v<548, 964, 900 and no Barker sequence of length l with 13 < l < 10^22. |
|
Subject:
|
DRNTU::Science::Mathematics::Discrete mathematics::Combinatorics. |
|
Type:
|
Journal Article |
|
Series/ Journal Title:
|
Journal of designs codes and cryptography |
|
School:
|
School of Physical and Mathematical Sciences |
|
Rights:
|
Designs, codes and cryptography © copyright 2005 Springer Netherlands. The journal's website is located at http://www.springerlink.com/content/lwt1482721p60t1j. |
|
Version:
|
Accepted version |